Journal ArticleDOI
Quantum dynamics of wave packets on phase space cells in nonlinearly coupled oscillators
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In this paper, the time evolution of harmonic oscillator coherent states (minimum uncertainty wave packet) | Ψμ located on regular and random von Neumann lattice points in phase space is analyzed for nonlinearly coupled anharmonic vibrational systems.Abstract:
The time evolution of harmonic oscillator coherent states (minimum uncertainty wave packet) | Ψμ located on regular and random von Neumann lattice points in phase space is analyzed for nonlinearly coupled anharmonic vibrational systems. The Henon–Heiles system is studied as an example. A quasiprobability measure is introduced to investigate the relative probabilities for the transition between phase space cells within a narrow energy range. The probability , as well as the information entropy Sμ, is studied as a function of energy. A smooth transition from regular to chaotic motion is found indicated by a change of the fluctuations of these quantities as a function of energy.read more
Citations
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A Bibliography of Publications in The International Journal of Quantum Chemistry: 1980{1989
TL;DR: In this article, the authors present a list of the top 10 most expensive products in the US for different categories: $1.00 [Mår82], $9.95 [Lun], $15.25 [Wol81], $28.25] and $88.00.
Journal ArticleDOI
The Transition Between Regular and Chaotic Dynamics and Its Influence on the Vibrational Energy Transfer in Molecules After Local Preparation
TL;DR: In this paper, the authors investigated the influence of regular and chaotic motion on the nature of the intermode vibrational energy transfer after local excitation in two-dimensional non-separable oscillator systems.
Book ChapterDOI
Quantum Ergodicity And Intensity Fluctuations
Eric J. Heller,R. L. Sundberg +1 more
TL;DR: The concept of phase space flow is intimately related to the concept of ergodicity as discussed by the authors, where an ergodic system will sample all regions of the phase space democratically in the time average, subject only to known a priori constants of the motion.
Journal ArticleDOI
Hamilton-Jacobi dynamics for the solution of time dependent quantum problems II. Wave packet propagation in two dimensional, nonlinearly coupled oscillators – exact and time-dependent SCF-solutions–
TL;DR: In this article, the Schrodinger representation of the quantum dynamic system is transformed into Hamilton-Jacobi type equations of motion as they occur in multi particle classical dynamics, i.e. standard techniques in molecular dynamics can be applied for the integration.
References
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Book
Quantum Statistical Properties of Radiation
TL;DR: In this paper, Dirac Formulation of Quantum Mechanics Elementary Quantum Systems Operator Algebra Quantization of the Electromagnetic Field Interaction of Radiation with Matter Quantum Theory of Damping--Density Operator Methods Quantum Theory-Langevin Approach Lamb's Semiclassical Theory of a Laser [1] Statistical properties of a laser Appendices Index
Journal ArticleDOI
Quasiperiodic and stochastic behavior in molecules
TL;DR: In this article, a review of recent theoretical studies on the quasiperiodic and chaotic dynamical aspects of vibrational states and how those studies may be related to intramolecular randomization is presented.
Journal ArticleDOI
On the completeness of the coherent states
TL;DR: In this article, the authors study subsets of coherent states based on square lattices in the complex plane, where Zm,n =γ(m+in) for m,n=0, ±1, ±2, γ > π, and prove the completeness of the case γ = π by invoking square integrability along with analyticity.
Journal ArticleDOI
Molecular spectra, Fermi resonances, and classical motion
TL;DR: In this paper, the authors report a very strong correspondence between classical stability of motion and quantum spectral features, wave functions, and energy transfer, and show that the quantum spectrum shows tell-tale pre-and post-resonant signatures.
Journal ArticleDOI
On the completeness of a system of coherent states
TL;DR: In this paper, a detailed study is made of the case when a regular lattice on the complex $\alpha$ plane with cell area S=$\pi$ corresponds to the states of the system.
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